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Finding the Fourth Proportional to 234.55, 323.52 and 141.23

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Solution

The fourth proportional to 234.55, 323.52 and 141.23 is: 194.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.55 : 323.52 = 141.23 : x
  2. Step 2: Convert to fraction form
    234.55/323.52 = 141.23/x
  3. Step 3: Cross multiply
    234.55x = 323.52 × 141.23
  4. Step 4: Simplify right side
    234.55x = 45,689.11
  5. Step 5: Solve for x
    x = 45,689.11/234.55
  6. Step 6: Final answer
    x = 194.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.